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oksano4ka [1.4K]
3 years ago
9

The mass of a ball is 128 g. It has a density of 0.5 g/cm³.

Mathematics
1 answer:
liraira [26]3 years ago
7 0

Answer:

The volume of the ball is 256 cm³

Step-by-step explanation:

we know that

The density is equal to the ratio of the mass by the volume

D=m/V

Solve for V

The volume is equal to the ratio of the mass by the density

V=m/D

In this problem we have

m=128 g

D=0.5 g/cm³

substitute

V=128/0.5=256 cm³

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PLEASE HELP ME WITH THIS
Vedmedyk [2.9K]
Let's start with the drawing. (See the drawing at the bottom of this answer.)

Draw a vertical segment.
At the bottom endpoint, draw a horizontal segment to the right.
The angle at the bottom left is a right angle.
So far this should look like an "L" shape.
The vertical segment is the wall, and the horizontal segment is the ground.

Now draw a segment that connects the right endpoint of the horizontal segment and the top endpoint of the vertical segment. Now you have a right triangle. The diagonal segment represents the ladder. The diagonal segment is the hypotenuse. Label the diagonal segment, the hypotenuse, 12 ft.
Label the vertical segment, the wall, 11.8 ft.

The angle at the bottom right is A. It is the angle the ladder makes with the ground. This angle cannot be greater than 75 degrees.

Now we use trigonometry to find the measure of angle A.

For this right triangle, and its angle A, you have a hypotenuse that measures 12 ft, and an opposite leg that measures 11.8 ft.
We need to find angle A.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.

\sin A = \dfrac{opp}{hyp}

\sin A = \dfrac{11.8}{12}

\sin A = 0.98333

Since the sine of angle A equals 0.98333, we use the inverse sine function to find the measure of angle A.

A = \sin^{-1} 0.98333

A = 79.5^\circ

Answer:
The angle the ladder makes with the ground is 79.5 degrees which is greater than 75 degrees, so the ladder it will be unsafe in this position.


           |\
           |  \
           |    \
           |      \
opp = |         \ hyp = 12
= 11.8  |           \
           |             \
           |_______\  A
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3 years ago
A)Natalie has read 3/4 of a book that is 120 pages long. How many pages does she have left to read?
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A) (1/4)*120=
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8 0
3 years ago
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a car corporation produced 820 more cars this month than last write a signed number to to represent this months change in produc
masya89 [10]

Based on the information given, the equation to represent the situation will be x + 820.

Let last months car production be represented by x.

From the information given, we are told that a car corporation produced 820 more cars this month than it did last month.

Therefore, the equation to represent this month's car production will be:

= x + 820

Learn more about equations on:

brainly.com/question/2972832

6 0
3 years ago
Fill in the blank. ___ x 9 = 45? Please
tia_tia [17]

Answer:

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6 0
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RSB [31]

The value of y is 3 when x is 6.

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$y=\frac{x}{2}

Substitute x = 6 in the formula, we get

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Hence the value of y is 3 when x is 6.

7 0
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